3802165988448 has 96 divisors (see below), whose sum is σ = 10513944685440. Its totient is φ = 1199774315520.

The previous prime is 3802165988407. The next prime is 3802165988461. The reversal of 3802165988448 is 8448895612083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620511 + ... + 3198497.

It is an arithmetic number, because the mean of its divisors is an integer number (109520257140).

Almost surely, 2^{3802165988448} is an apocalyptic number.

3802165988448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3802165988448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256972342720).

3802165988448 is an abundant number, since it is smaller than the sum of its proper divisors (6711778696992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3802165988448 is a wasteful number, since it uses less digits than its factorization.

3802165988448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579340 (or 1579332 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 66.

The spelling of 3802165988448 in words is "three trillion, eight hundred two billion, one hundred sixty-five million, nine hundred eighty-eight thousand, four hundred forty-eight".